1011100211001 has 16 divisors (see below), whose sum is σ = 1576764462400. Its totient is φ = 638589606624.

The previous prime is 1011100210979. The next prime is 1011100211003. The reversal of 1011100211001 is 1001120011101.

It is not a de Polignac number, because 1011100211001 - 2⁹ = 1011100210489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011100211003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985477276 + ... + 985478301.

It is an arithmetic number, because the mean of its divisors is an integer number (98547778900).

Almost surely, 2^{1011100211001} is an apocalyptic number.

It is an amenable number.

1011100211001 is a deficient number, since it is larger than the sum of its proper divisors (565664251399).

1011100211001 is a wasteful number, since it uses less digits than its factorization.

1011100211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970955605 (or 1970955599 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011100211001 its reverse (1001120011101), we get a palindrome (2012220222102).

The spelling of 1011100211001 in words is "one trillion, eleven billion, one hundred million, two hundred eleven thousand, one".